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Finding the Third Proportional to 465,842.25 and 659,306.25

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Solution

The third proportional to 465,842.25 and 659,306.25 is: 933,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,842.25 : 659,306.25 = 659,306.25 : x
  2. Step 2: Convert to fraction form
    465,842.25/659,306.25 = 659,306.25/x
  3. Step 3: Cross multiply
    465,842.25x = 659,306.25 × 659,306.25
  4. Step 4: Simplify right side
    465,842.25x = 434,684,731,289.06
  5. Step 5: Solve for x
    x = 434,684,731,289.06/465,842.25
  6. Step 6: Final answer
    x = 933,115.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.